7c-4=2+3(5c+2)

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Solution for 7c-4=2+3(5c+2) equation:


Simplifying
7c + -4 = 2 + 3(5c + 2)

Reorder the terms:
-4 + 7c = 2 + 3(5c + 2)

Reorder the terms:
-4 + 7c = 2 + 3(2 + 5c)
-4 + 7c = 2 + (2 * 3 + 5c * 3)
-4 + 7c = 2 + (6 + 15c)

Combine like terms: 2 + 6 = 8
-4 + 7c = 8 + 15c

Solving
-4 + 7c = 8 + 15c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-15c' to each side of the equation.
-4 + 7c + -15c = 8 + 15c + -15c

Combine like terms: 7c + -15c = -8c
-4 + -8c = 8 + 15c + -15c

Combine like terms: 15c + -15c = 0
-4 + -8c = 8 + 0
-4 + -8c = 8

Add '4' to each side of the equation.
-4 + 4 + -8c = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -8c = 8 + 4
-8c = 8 + 4

Combine like terms: 8 + 4 = 12
-8c = 12

Divide each side by '-8'.
c = -1.5

Simplifying
c = -1.5

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